Answer:
K_{total} = 19.4 J
Explanation:
The total kinetic energy that is formed by the linear part and the rotational part is requested
let's look for each energy
linear
= ½ m v²
rotation
= ½ I w²
the moment of inertia of a solid sphere is
I = 2/5 m r²
we substitute
= ½ mv² + ½ I w²
angular and linear velocity are related
v = w r
we substitute
K_{total} = ½ m w² r² + ½ (2/5 m r²) w²
K_{total} = m w² r² (½ + 1/5)
K_{total} = 
m w² r²
let's calculate
K_{total} = 6.40 16.0² 0.130²
K_{total} = 19.4 J
It's Z.
Without any force acting on it an object travels in a straight line.
In order to bend away from a straight line the object needs a force acting on it.
In order to move along a circle, the force on the object points toward the center of the circle. It's called the centripetal force.
Since the object's direction is changing it has acceleration.
The acceleration points toward the center of the circle.
Answer:
D- component of the gravitational force parallel to the plane increased and normal force exerted by the board decreased
Explanation:
component of the gravitational force parallel to the plane = mg sinθ ; where θ is inclination of the plane . As it increases , sinθ increases and hence component of the gravitational force parallel to the plane increases .
normal force exerted by the board = mg cosθ . As θ increases , cosθ decreases and hence normal force exerted by the board decreases and hence friction force decreases because
Friction force = coefficient of friction x normal force exerted by the board .
coefficient of friction remains constant.
